6058080 has 144 divisors (see below), whose sum is σ = 23665824. Its totient is φ = 1382400.

The previous prime is 6058057. The next prime is 6058097. The reversal of 6058080 is 808506.

6058080 is a `hidden beast` number, since 6 + 0 + 580 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9780 + ... + 10380.

It is an arithmetic number, because the mean of its divisors is an integer number (164346).

Almost surely, 2^6058080 is an apocalyptic number.

6058080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6058080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832912).

6058080 is an abundant number, since it is smaller than the sum of its proper divisors (17607744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6058080 is a wasteful number, since it uses less digits than its factorization.

6058080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 6058080 is about 2461.3167207818. The cubic root of 6058080 is about 182.2965017638.

The spelling of 6058080 in words is "six million, fifty-eight thousand, eighty".